不确定离散时滞系统的鲁棒H_∞滤波与仿真  

Robust H_∞ Filtering and Simulation for Uncertain Discrete Time-delay Systems

作　　者：关新平[1] 张群亮[1] 

机构地区：[1]燕山大学电气工程学院,秦皇岛066004

出　　处：《系统仿真学报》2002年第8期1078-1080,1111,共4页Journal of System Simulation

摘　　要：研究了一类不确定离散时滞系统的鲁棒H滤波问题,其中不确定性存在于系统的状态矩阵和输入矩阵当中,且满足范数有界条件。对于所有容许的参数不确定性,构造一个线性滤波器,使得滤波误差系统渐近稳定且满足一定的H性能指标。给出了滤波器存在的充分条件,并通过矩阵变换得到了设计滤波器的LMI方法。为了使得滤波器具有良好的稳态性能,本文考虑了LMI的优化问题。通过求解一组LMI,可以得到最优滤波器。最后,仿真结果很好地说明了本文方法的有效性。This paper deals with the problem of robust Hfiltering for a class of uncertain discrete time-delay systems, where the uncertainties that satisfy the so-called norm-bounded conditions exist in state matrices and input matrices, The aim is to design a linear filter which can guarantee a prescribedH performance level for the filtering error system and all admissible uncertainties. The sufficient conditions for existing filter are derived. A LMI method for designing filters is given by matrix transformations. In order to guarantee the excellent steady performance of filters, we consider the optimization of LMIs. By solving a set of LMIs, the optimal filer can be derived. Finally, the simulation result shows that the method is very effective.

关 键 词：不确定离散时滞系统 鲁棒H∞滤波 仿真 

分 类 号：TP271.8[自动化与计算机技术—检测技术与自动化装置] TP391.9[自动化与计算机技术—控制科学与工程]